# Worksheet: Magnitude of a 2D Vector

In this worksheet, we will practice determining the magnitude of two-dimensional vectors.

**Q2: **

What is the magnitude of the vector ?

**Q3: **

Given that , find the value of .

**Q4: **

What is the magnitude of the vector ?

- A
- B
- C1
- D
- E41

**Q5: **

Given that , find the value of .

- A
- B
- C2
- D
- E10

**Q7: **

What is the magnitude of the vector where and ?

**Q8: **

How do you write the magnitude of a vector ?

- A
- B
- C
- D
- E

**Q9: **

The vector is shown on the grid of unit squares below. Find the value of .

**Q11: **

The vector is shown on the grid of unit squares below. Find the value of .

**Q12: **

What is the magnitude of the vector , where and ?

- A10
- B101
- C1
- D
- E

**Q13: **

What is the magnitude of the vector ?

**Q14: **

Given that , find .

- A4
- B200
- C
- D

**Q15: **

Given that , where and are two perpendicular unit vectors, find .

- A
- B
- C
- D

**Q16: **

What is the magnitude of the vector ?

**Q17: **

Find the magnitude of the vector shown on the grid of unit squares below.

**Q18: **

Find the magnitude of the vector shown on the grid of unit squares below.

- A7
- B50
- C
- D
- E

**Q19: **

Find the magnitude of the vector shown on the grid of unit squares below.

**Q20: **

Consider the vectors and .

What is the magnitude of ? Give your answer correct to two decimal places if needed.

What is the magnitude of ? Give your answer correct to two decimal places if needed.

What is the magnitude of ? Give your answer correct to two decimal places if needed.

**Q21: **

Given that , find the value of .

**Q22: **

The vector is shown on the grid of unit squares below. Find the value of .

- A
- B
- C5
- D
- E9

**Q23: **

The vector is shown on the grid of unit squares below. Find the value of .

- A
- B
- C13
- D
- E

**Q24: **

Find the magnitude of the vector shown on the grid of unit squares below.

**Q25: **

The vector is shown on the grid of unit squares below. Find the value of .